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Finding the Fourth Proportional to 33,825.40, 50,738.10 and 14,118.10

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Solution

The fourth proportional to 33,825.40, 50,738.10 and 14,118.10 is: 21,177.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,825.40 : 50,738.10 = 14,118.10 : x
  2. Step 2: Convert to fraction form
    33,825.40/50,738.10 = 14,118.10/x
  3. Step 3: Cross multiply
    33,825.40x = 50,738.10 × 14,118.10
  4. Step 4: Simplify right side
    33,825.40x = 716,325,569.61
  5. Step 5: Solve for x
    x = 716,325,569.61/33,825.40
  6. Step 6: Final answer
    x = 21,177.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.